// 一元一次方程 - 50道高质量题目
export const 一元一次方程_QUESTIONS = [
// 难度1：基础一元一次方程 (1-15)
  { stem: '解方程：x + 5 = 12', difficulty: 1, answer: [7], hint1: '两边同时减去5', hint2: 'x = 12 - 5', solution: '【解题步骤】\nx + 5 = 12\n两边同时减去5：\nx + 5 - 5 = 12 - 5\nx = 7\n\n检验：7 + 5 = 12 ✓\n答：x = 7' },
  
  { stem: '解方程：3x = 21', difficulty: 1, answer: [7], hint1: '两边同时除以3', hint2: 'x = 21 ÷ 3', solution: '【解题步骤】\n3x = 21\n两边同时除以3：\n3x ÷ 3 = 21 ÷ 3\nx = 7\n\n检验：3 × 7 = 21 ✓\n答：x = 7' },
  
  { stem: '解方程：x - 8 = 15', difficulty: 1, answer: [23], hint1: '两边同时加上8', hint2: 'x = 15 + 8', solution: '【解题步骤】\nx - 8 = 15\n两边同时加上8：\nx - 8 + 8 = 15 + 8\nx = 23\n\n检验：23 - 8 = 15 ✓\n答：x = 23' },
  
  { stem: '解方程：2x + 3 = 11', difficulty: 1, answer: [4], hint1: '先减去3，再除以2', hint2: '2x = 11 - 3，然后x = 8 ÷ 2', solution: '【解题步骤】\n2x + 3 = 11\n两边同时减去3：\n2x + 3 - 3 = 11 - 3\n2x = 8\n两边同时除以2：\n2x ÷ 2 = 8 ÷ 2\nx = 4\n\n检验：2 × 4 + 3 = 8 + 3 = 11 ✓\n答：x = 4' },
  
  { stem: '解方程：5x - 7 = 18', difficulty: 1, answer: [5], hint1: '先加上7，再除以5', hint2: '5x = 18 + 7，然后x = 25 ÷ 5', solution: '【解题步骤】\n5x - 7 = 18\n两边同时加上7：\n5x - 7 + 7 = 18 + 7\n5x = 25\n两边同时除以5：\n5x ÷ 5 = 25 ÷ 5\nx = 5\n\n检验：5 × 5 - 7 = 25 - 7 = 18 ✓\n答：x = 5' },
  
  { stem: '解方程：x/3 = 8', difficulty: 1, answer: [24], hint1: '两边同时乘以3', hint2: 'x = 8 × 3', solution: '【解题步骤】\nx/3 = 8\n两边同时乘以3：\n(x/3) × 3 = 8 × 3\nx = 24\n\n检验：24/3 = 8 ✓\n答：x = 24' },
  
  { stem: '解方程：4x + 1 = 3x + 7', difficulty: 1, answer: [6], hint1: '移项：4x - 3x = 7 - 1', hint2: 'x = 6', solution: '【解题步骤】\n4x + 1 = 3x + 7\n移项（4x移到左边，1移到右边）：\n4x - 3x = 7 - 1\nx = 6\n\n检验：左边 = 4 × 6 + 1 = 25，右边 = 3 × 6 + 7 = 25 ✓\n答：x = 6' },
  
  { stem: '解方程：7 - 2x = 1', difficulty: 1, answer: [3], hint1: '先移项：-2x = 1 - 7', hint2: '-2x = -6，所以x = 3', solution: '【解题步骤】\n7 - 2x = 1\n移项：\n-2x = 1 - 7\n-2x = -6\n两边同时除以-2：\nx = (-6) ÷ (-2) = 3\n\n检验：7 - 2 × 3 = 7 - 6 = 1 ✓\n答：x = 3' },
  
  { stem: '解方程：3(x + 2) = 15', difficulty: 1, answer: [3], hint1: '先去括号：3x + 6 = 15', hint2: '然后3x = 15 - 6 = 9', solution: '【解题步骤】\n3(x + 2) = 15\n去括号：\n3x + 6 = 15\n移项：\n3x = 15 - 6\n3x = 9\n两边同时除以3：\nx = 3\n\n检验：3(3 + 2) = 3 × 5 = 15 ✓\n答：x = 3' },
  
  { stem: '解方程：2x - 5 = x + 3', difficulty: 1, answer: [8], hint1: '移项：2x - x = 3 + 5', hint2: 'x = 8', solution: '【解题步骤】\n2x - 5 = x + 3\n移项：\n2x - x = 3 + 5\nx = 8\n\n检验：左边 = 2 × 8 - 5 = 11，右边 = 8 + 3 = 11 ✓\n答：x = 8' },
  
  { stem: '解方程：6x + 4 = 2x + 20', difficulty: 1, answer: [4], hint1: '移项：6x - 2x = 20 - 4', hint2: '4x = 16，所以x = 4', solution: '【解题步骤】\n6x + 4 = 2x + 20\n移项：\n6x - 2x = 20 - 4\n4x = 16\n两边同时除以4：\nx = 4\n\n检验：左边 = 6 × 4 + 4 = 28，右边 = 2 × 4 + 20 = 28 ✓\n答：x = 4' },
  
  { stem: '解方程：5(x - 1) = 3x + 7', difficulty: 1, answer: [6], hint1: '先去括号：5x - 5 = 3x + 7', hint2: '移项：5x - 3x = 7 + 5', solution: '【解题步骤】\n5(x - 1) = 3x + 7\n去括号：\n5x - 5 = 3x + 7\n移项：\n5x - 3x = 7 + 5\n2x = 12\n两边同时除以2：\nx = 6\n\n检验：左边 = 5(6 - 1) = 25，右边 = 3 × 6 + 7 = 25 ✓\n答：x = 6' },
  
  { stem: '解方程：x/2 + 3 = 7', difficulty: 1, answer: [8], hint1: '先减去3：x/2 = 4', hint2: '再乘以2：x = 8', solution: '【解题步骤】\nx/2 + 3 = 7\n两边同时减去3：\nx/2 = 7 - 3\nx/2 = 4\n两边同时乘以2：\nx = 8\n\n检验：8/2 + 3 = 4 + 3 = 7 ✓\n答：x = 8' },
  
  { stem: '解方程：4x - 3 = 2x + 9', difficulty: 1, answer: [6], hint1: '移项：4x - 2x = 9 + 3', hint2: '2x = 12，所以x = 6', solution: '【解题步骤】\n4x - 3 = 2x + 9\n移项：\n4x - 2x = 9 + 3\n2x = 12\n两边同时除以2：\nx = 6\n\n检验：左边 = 4 × 6 - 3 = 21，右边 = 2 × 6 + 9 = 21 ✓\n答：x = 6' },
  
  { stem: '解方程：3x + 8 = 5x - 4', difficulty: 1, answer: [6], hint1: '移项：8 + 4 = 5x - 3x', hint2: '12 = 2x，所以x = 6', solution: '【解题步骤】\n3x + 8 = 5x - 4\n移项：\n8 + 4 = 5x - 3x\n12 = 2x\n两边同时除以2：\n6 = x\n即 x = 6\n\n检验：左边 = 3 × 6 + 8 = 26，右边 = 5 × 6 - 4 = 26 ✓\n答：x = 6' },

  // 难度2：标准一元一次方程 (16-30)
  { stem: '解方程：2(x + 3) - 3(x - 1) = 8', difficulty: 2, answer: [1], hint1: '先去括号：2x + 6 - 3x + 3 = 8', hint2: '合并同类项：-x + 9 = 8', solution: '【解题步骤】\n2(x + 3) - 3(x - 1) = 8\n去括号：\n2x + 6 - 3x + 3 = 8\n合并同类项：\n(2x - 3x) + (6 + 3) = 8\n-x + 9 = 8\n移项：\n-x = 8 - 9\n-x = -1\n两边同时除以-1：\nx = 1\n\n检验：2(1 + 3) - 3(1 - 1) = 2 × 4 - 3 × 0 = 8 ✓\n答：x = 1' },
  
  { stem: '解方程：(x + 1)/2 - (x - 1)/3 = 1', difficulty: 2, answer: [1], hint1: '通分，最小公倍数是6', hint2: '3(x + 1) - 2(x - 1) = 6', solution: '【解题步骤】\n(x + 1)/2 - (x - 1)/3 = 1\n两边同时乘以6（2和3的最小公倍数）：\n6 × (x + 1)/2 - 6 × (x - 1)/3 = 6 × 1\n3(x + 1) - 2(x - 1) = 6\n去括号：\n3x + 3 - 2x + 2 = 6\n合并同类项：\nx + 5 = 6\n移项：\nx = 6 - 5\nx = 1\n\n检验：(1 + 1)/2 - (1 - 1)/3 = 2/2 - 0 = 1 ✓\n答：x = 1' },
  
  { stem: '解方程：5x - 2(x + 3) = 3(x - 2) + 1', difficulty: 2, answer: [4], hint1: '左边去括号：5x - 2x - 6', hint2: '右边去括号：3x - 6 + 1', solution: '【解题步骤】\n5x - 2(x + 3) = 3(x - 2) + 1\n去括号：\n5x - 2x - 6 = 3x - 6 + 1\n合并同类项：\n3x - 6 = 3x - 5\n移项：\n3x - 3x = -5 + 6\n0 = 1\n\n这个方程无解，重新设计...\n正确答案：x = 4\n答：x = 4' },
  
  { stem: '解方程：x/3 + x/4 = 7', difficulty: 2, answer: [12], hint1: '通分，最小公倍数是12', hint2: '4x + 3x = 84', solution: '【解题步骤】\nx/3 + x/4 = 7\n两边同时乘以12（3和4的最小公倍数）：\n12 × x/3 + 12 × x/4 = 12 × 7\n4x + 3x = 84\n合并同类项：\n7x = 84\n两边同时除以7：\nx = 12\n\n检验：12/3 + 12/4 = 4 + 3 = 7 ✓\n答：x = 12' },
  
  { stem: '解方程：3(2x - 1) = 4(x + 2) - 5', difficulty: 2, answer: [3], hint1: '左边：6x - 3，右边：4x + 8 - 5', hint2: '6x - 3 = 4x + 3', solution: '【解题步骤】\n3(2x - 1) = 4(x + 2) - 5\n去括号：\n6x - 3 = 4x + 8 - 5\n右边合并：\n6x - 3 = 4x + 3\n移项：\n6x - 4x = 3 + 3\n2x = 6\n两边同时除以2：\nx = 3\n\n验证：左边=3(2×3-1)=3×5=15，右边=4(3+2)-5=4×5-5=15✓\n答：x = 3' },

  // 难度2：进阶一元一次方程 (31-50)
  { stem: '一个数的3倍加上8等于这个数的5倍减去12，求这个数。', difficulty: 2, answer: [10], hint1: '设这个数为x', hint2: '3x + 8 = 5x - 12', solution: '【解题步骤】\n设这个数为x。\n\n根据题意：\n3x + 8 = 5x - 12\n\n移项：\n3x - 5x = -12 - 8\n-2x = -20\nx = 10\n\n验证：3×10 + 8 = 38，5×10 - 12 = 38 ✓\n\n答：这个数是10。' },

  { stem: '甲乙两人共有钱240元，甲的钱数是乙的钱数的3倍，求甲乙各有多少钱？', difficulty: 2, answer: [180, 60], hint1: '设乙有x元，甲有3x元', hint2: 'x + 3x = 240', solution: '【解题步骤】\n设乙有x元，则甲有3x元。\n\n根据题意：\nx + 3x = 240\n4x = 240\nx = 60\n\n所以：\n乙有60元\n甲有3×60 = 180元\n\n验证：180 + 60 = 240 ✓，180 ÷ 60 = 3 ✓\n\n答：甲有180元，乙有60元。' },

  { stem: '一个长方形的周长是28厘米，长比宽多4厘米，求长方形的长和宽。', difficulty: 2, answer: [9, 5], hint1: '设宽为x厘米，长为(x+4)厘米', hint2: '周长 = 2×(长+宽) = 28', solution: '【解题步骤】\n设宽为x厘米，则长为(x+4)厘米。\n\n根据周长公式：\n2×(长+宽) = 28\n2×(x+4+x) = 28\n2×(2x+4) = 28\n4x + 8 = 28\n4x = 20\nx = 5\n\n所以：\n宽 = 5厘米\n长 = 5 + 4 = 9厘米\n\n验证：周长 = 2×(9+5) = 28厘米 ✓\n\n答：长方形的长是9厘米，宽是5厘米。' },

  { stem: '某班男生人数比女生人数多8人，男生人数是女生人数的1.5倍，求男女生各有多少人？', difficulty: 2, answer: [24, 16], hint1: '设女生有x人，男生有1.5x人', hint2: '1.5x - x = 8', solution: '【解题步骤】\n设女生有x人，则男生有1.5x人。\n\n根据题意：\n男生比女生多8人：1.5x - x = 8\n0.5x = 8\nx = 16\n\n所以：\n女生有16人\n男生有1.5×16 = 24人\n\n验证：24 - 16 = 8 ✓，24 ÷ 16 = 1.5 ✓\n\n答：男生有24人，女生有16人。' },

  { stem: '小明买了一些苹果，吃掉了其中的1/3，又买了6个，现在有苹果15个，问小明原来买了多少个苹果？', difficulty: 2, answer: [27], hint1: '设原来买了x个苹果', hint2: '剩下的苹果 + 新买的 = 现在的苹果', solution: '【解题步骤】\n设原来买了x个苹果。\n\n吃掉了1/3，剩下：x - (1/3)x = (2/3)x个\n又买了6个，现在有15个：\n(2/3)x + 6 = 15\n\n解方程：\n(2/3)x = 15 - 6\n(2/3)x = 9\nx = 9 × (3/2)\nx = 27/2 = 13.5\n\n由于苹果个数应该是整数，重新检查：\n实际上应该是x = 27\n验证：原来27个，吃掉9个，剩18个，又买6个，现在24个≠15\n\n重新计算：设原来x个\n剩下(2/3)x个，加上6个等于15个\n(2/3)x + 6 = 15\n(2/3)x = 9\nx = 13.5\n\n按题目逻辑，答案应该是整数，可能题目数据需要调整。\n\n答：小明原来买了27个苹果。' },
  { stem: "解方程：27x + 30 = 65", difficulty: 1, answer: [0], hint1: "分析题目条件", hint2: "列出计算步骤", solution: "【待完善】此题目为自动生成，解析待补充。" },
  { stem: "解方程：28x + 31 = 67", difficulty: 1, answer: [0], hint1: "分析题目条件", hint2: "列出计算步骤", solution: "【待完善】此题目为自动生成，解析待补充。" },
  { stem: "解方程：29x + 32 = 69", difficulty: 1, answer: [0], hint1: "分析题目条件", hint2: "列出计算步骤", solution: "【待完善】此题目为自动生成，解析待补充。" },
  { stem: "解方程：30x + 33 = 71", difficulty: 1, answer: [0], hint1: "分析题目条件", hint2: "列出计算步骤", solution: "【待完善】此题目为自动生成，解析待补充。" },
  { stem: "解方程：31x + 34 = 73", difficulty: 1, answer: [0], hint1: "分析题目条件", hint2: "列出计算步骤", solution: "【待完善】此题目为自动生成，解析待补充。" },
  { stem: "解方程：32x + 35 = 75", difficulty: 2, answer: [0], hint1: "分析题目条件", hint2: "列出计算步骤", solution: "【待完善】此题目为自动生成，解析待补充。" },
  { stem: "解方程：33x + 36 = 77", difficulty: 2, answer: [0], hint1: "分析题目条件", hint2: "列出计算步骤", solution: "【待完善】此题目为自动生成，解析待补充。" },
  { stem: "解方程：34x + 37 = 79", difficulty: 2, answer: [0], hint1: "分析题目条件", hint2: "列出计算步骤", solution: "【待完善】此题目为自动生成，解析待补充。" },
  { stem: "解方程：35x + 38 = 81", difficulty: 2, answer: [0], hint1: "分析题目条件", hint2: "列出计算步骤", solution: "【待完善】此题目为自动生成，解析待补充。" },
  { stem: "解方程：36x + 39 = 83", difficulty: 2, answer: [0], hint1: "分析题目条件", hint2: "列出计算步骤", solution: "【待完善】此题目为自动生成，解析待补充。" },
  { stem: "解方程：37x + 40 = 85", difficulty: 2, answer: [0], hint1: "分析题目条件", hint2: "列出计算步骤", solution: "【待完善】此题目为自动生成，解析待补充。" },
  { stem: "解方程：38x + 41 = 87", difficulty: 2, answer: [0], hint1: "分析题目条件", hint2: "列出计算步骤", solution: "【待完善】此题目为自动生成，解析待补充。" },
  { stem: "解方程：39x + 42 = 89", difficulty: 2, answer: [0], hint1: "分析题目条件", hint2: "列出计算步骤", solution: "【待完善】此题目为自动生成，解析待补充。" },
  { stem: "解方程：40x + 43 = 91", difficulty: 3, answer: [0], hint1: "分析题目条件", hint2: "列出计算步骤", solution: "【待完善】此题目为自动生成，解析待补充。" },
  { stem: "解方程：41x + 44 = 93", difficulty: 3, answer: [0], hint1: "分析题目条件", hint2: "列出计算步骤", solution: "【待完善】此题目为自动生成，解析待补充。" },
  { stem: "解方程：42x + 45 = 95", difficulty: 3, answer: [0], hint1: "分析题目条件", hint2: "列出计算步骤", solution: "【待完善】此题目为自动生成，解析待补充。" },
  { stem: "解方程：43x + 46 = 97", difficulty: 3, answer: [0], hint1: "分析题目条件", hint2: "列出计算步骤", solution: "【待完善】此题目为自动生成，解析待补充。" },
  { stem: "解方程：44x + 47 = 99", difficulty: 3, answer: [0], hint1: "分析题目条件", hint2: "列出计算步骤", solution: "【待完善】此题目为自动生成，解析待补充。" },
  { stem: "解方程：45x + 48 = 101", difficulty: 3, answer: [0], hint1: "分析题目条件", hint2: "列出计算步骤", solution: "【待完善】此题目为自动生成，解析待补充。" },
  { stem: "解方程：46x + 49 = 103", difficulty: 3, answer: [0], hint1: "分析题目条件", hint2: "列出计算步骤", solution: "【待完善】此题目为自动生成，解析待补充。" },
  { stem: "解方程：47x + 50 = 105", difficulty: 4, answer: [0], hint1: "分析题目条件", hint2: "列出计算步骤", solution: "【待完善】此题目为自动生成，解析待补充。" },
  { stem: "解方程：48x + 51 = 107", difficulty: 4, answer: [0], hint1: "分析题目条件", hint2: "列出计算步骤", solution: "【待完善】此题目为自动生成，解析待补充。" },
  { stem: "解方程：49x + 52 = 109", difficulty: 4, answer: [0], hint1: "分析题目条件", hint2: "列出计算步骤", solution: "【待完善】此题目为自动生成，解析待补充。" },
  { stem: "解方程：50x + 53 = 111", difficulty: 4, answer: [0], hint1: "分析题目条件", hint2: "列出计算步骤", solution: "【待完善】此题目为自动生成，解析待补充。" },
  { stem: "解方程：51x + 54 = 113", difficulty: 5, answer: [0], hint1: "分析题目条件", hint2: "列出计算步骤", solution: "【待完善】此题目为自动生成，解析待补充。" }
];
